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Finding the Fourth Proportional to 1,818.71, 2,509.70 and 1,022.06

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Solution

The fourth proportional to 1,818.71, 2,509.70 and 1,022.06 is: 1,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.71 : 2,509.70 = 1,022.06 : x
  2. Step 2: Convert to fraction form
    1,818.71/2,509.70 = 1,022.06/x
  3. Step 3: Cross multiply
    1,818.71x = 2,509.70 × 1,022.06
  4. Step 4: Simplify right side
    1,818.71x = 2,565,046.32
  5. Step 5: Solve for x
    x = 2,565,046.32/1,818.71
  6. Step 6: Final answer
    x = 1,410.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.